You will receive up to 8 courses of therapy. If you are not Ph+, you will continue to receive maintenance therapy for up to 30 months. If you are Ph+, you will continue to receive maintenance therapy for up to 24 months, followed by imatinib or dasatinib alone indefinitely. You will be taken off the study if disease gets worse, you experience intolerable side effects, or the study doctor thinks it is in your best interest.